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Finding the Third Proportional to 60,543 and 119,529

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Solution

The third proportional to 60,543 and 119,529 is: 235,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,543 : 119,529 = 119,529 : x
  2. Step 2: Convert to fraction form
    60,543/119,529 = 119,529/x
  3. Step 3: Cross multiply
    60,543x = 119,529 × 119,529
  4. Step 4: Simplify right side
    60,543x = 14,287,181,841
  5. Step 5: Solve for x
    x = 14,287,181,841/60,543
  6. Step 6: Final answer
    x = 235,984.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.